Question

Solve the following equations. Show all work including calculator-ready answers. (Round to nearest thousandth)

1. 5in(3x - 2) = 15
2. In x + In 4 = 2
3. -7 + In 2x = 4

Answer 1

\(\large 5\text{in}\) ? is that suppose to be \(\large \sin\) in the first one?

Answer 2

No it is the LOG

Answer 3

Then it's ln not in (as in l for lima)

Answer 4

1.
\[5\times \ln{(3x-2)} = 15\]\[\ln{(3x-2)}=3\]\[3x-2=e^3\]Hopefully you can solve that for x.

2.
Use the identity\[\ln(a)+\ln(b)=\ln(a\times b)\]
3.
\[\ln{2x}=11\]\[2x=e^{11}\]Again, solve for x.